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Finding the Third Proportional to 31,292 and 68,334

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Solution

The third proportional to 31,292 and 68,334 is: 149,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292 : 68,334 = 68,334 : x
  2. Step 2: Convert to fraction form
    31,292/68,334 = 68,334/x
  3. Step 3: Cross multiply
    31,292x = 68,334 × 68,334
  4. Step 4: Simplify right side
    31,292x = 4,669,535,556
  5. Step 5: Solve for x
    x = 4,669,535,556/31,292
  6. Step 6: Final answer
    x = 149,224.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.